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A Functional Single Index Model
Statistica Sinica, 2020Motivated by the National Morbidity, Mortality and Air Pollution Study, we propose a semiparametric functional single index model to study the relation between a univariate response and multiple functional covariates.
Fei Jiang +3 more
semanticscholar +3 more sources
Functional Partial Linear Single‐index Model
Scandinavian Journal of Statistics, 2016Guochang Wang, Xiang-Nan Feng, Min Chen
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Quantile regression of partially linear single-index model with missing observations
Statistics (Berlin), 2021In this paper, we discuss the quantile regression and variable selection of partially linear single-index model when data are missing at random, which allows the response and covariates missing simultaneously.
Han-Ying Liang, Bao-Hua Wang, Yu Shen
semanticscholar +1 more source
Single-index partially functional linear regression model
Statistical Papers, 2018P. Yu, Jiang Du, Zhongzhan Zhang
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Direct estimation of the index coefficient in a single-index model
Annals of Statistics, 2001 Single-index modeling is widely applied in, for example, economet-ric studies as a compromise between too restrictive parametric models and flexible but hardly estimable purely nonparametric models.
Vladimir Spokoiny
exaly +2 more sources
A novel partial-linear single-index model for time series data
Computational Statistics & Data Analysis, 2019Partial-linear single-index models have been widely studied and applied, but their current applications to time series modeling still need some strong and inappropriate assumptions. A novel method which relaxes those assumptions is proposed.
Lei Huang, Hui Jiang, Huixia Wang
semanticscholar +1 more source
2004
A single index model (SIM) summarizes the effects of the explanatory variables X1, ..., Xd within a single variable called the index. As stated at the beginning of Part II, the SIM is one possibility for generalizing the GLM or for restricting the multidimensional regression E(Y|X) to overcome the curse of dimensionality and the lack of ...
Wolfgang Härdle +3 more
openaire +1 more source
A single index model (SIM) summarizes the effects of the explanatory variables X1, ..., Xd within a single variable called the index. As stated at the beginning of Part II, the SIM is one possibility for generalizing the GLM or for restricting the multidimensional regression E(Y|X) to overcome the curse of dimensionality and the lack of ...
Wolfgang Härdle +3 more
openaire +1 more source